-5m+34-5(m-1)=9m-(6m-8)-7m+7

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Solution for -5m+34-5(m-1)=9m-(6m-8)-7m+7 equation:


Simplifying
-5m + 34 + -5(m + -1) = 9m + -1(6m + -8) + -7m + 7

Reorder the terms:
-5m + 34 + -5(-1 + m) = 9m + -1(6m + -8) + -7m + 7
-5m + 34 + (-1 * -5 + m * -5) = 9m + -1(6m + -8) + -7m + 7
-5m + 34 + (5 + -5m) = 9m + -1(6m + -8) + -7m + 7

Reorder the terms:
34 + 5 + -5m + -5m = 9m + -1(6m + -8) + -7m + 7

Combine like terms: 34 + 5 = 39
39 + -5m + -5m = 9m + -1(6m + -8) + -7m + 7

Combine like terms: -5m + -5m = -10m
39 + -10m = 9m + -1(6m + -8) + -7m + 7

Reorder the terms:
39 + -10m = 9m + -1(-8 + 6m) + -7m + 7
39 + -10m = 9m + (-8 * -1 + 6m * -1) + -7m + 7
39 + -10m = 9m + (8 + -6m) + -7m + 7

Reorder the terms:
39 + -10m = 8 + 7 + 9m + -6m + -7m

Combine like terms: 8 + 7 = 15
39 + -10m = 15 + 9m + -6m + -7m

Combine like terms: 9m + -6m = 3m
39 + -10m = 15 + 3m + -7m

Combine like terms: 3m + -7m = -4m
39 + -10m = 15 + -4m

Solving
39 + -10m = 15 + -4m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4m' to each side of the equation.
39 + -10m + 4m = 15 + -4m + 4m

Combine like terms: -10m + 4m = -6m
39 + -6m = 15 + -4m + 4m

Combine like terms: -4m + 4m = 0
39 + -6m = 15 + 0
39 + -6m = 15

Add '-39' to each side of the equation.
39 + -39 + -6m = 15 + -39

Combine like terms: 39 + -39 = 0
0 + -6m = 15 + -39
-6m = 15 + -39

Combine like terms: 15 + -39 = -24
-6m = -24

Divide each side by '-6'.
m = 4

Simplifying
m = 4

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